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Cube & Dice - Beginner-Intermediate Level: application-based problems BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level cube & dice problems. Worksheet 11 of 30 focuses on application-based problems. Practice practice tests, exam preparation, competitive exams with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 11 of 30 (36% complete)

Question 1

This net folds into a standard dice. Dice Net625341 If face 5 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 5 is opposite to face 2.
When the net is folded, the face opposite to 5 will be on the bottom.
net, folding, spatial

Question 2

Which dice configuration matches this net? Dice Net312645
This net forms a alternate dice. When folded, opposite faces are: 1↔4, 2↔3, 5↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 3

In a standard dice, if face 6 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 6 is opposite to face 1.
Therefore, Face 1 cannot be adjacent to 6.
adjacent, faces, basic

Question 4

Three faces of a standard dice meet at a vertex: 3, 5, and 6. Which face is opposite to face 3?
In a standard dice, opposite pairs are fixed.
Face 3 is opposite to face 4.
At the vertex where 3, 5, and 6 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 5

In a standard dice, if face 5 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 5 is opposite to face 2.
Therefore, Face 2 cannot be adjacent to 5.
adjacent, faces, basic

Question 6

This net folds into a standard dice. Dice Net231465 If face 1 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 1 is opposite to face 6.
When the net is folded, the face opposite to 1 will be on the bottom.
net, folding, spatial

Question 7

In a standard dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 1 is opposite to face 6.
Therefore, Face 6 cannot be adjacent to 1.
adjacent, faces, basic

Question 8

Which dice configuration matches this net? Dice Net142653
This net forms a alternate dice. When folded, opposite faces are: 1↔4, 2↔3, 5↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 9

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate right → rotate clockwise → rotate backward Current Orientation4Top4Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → R → C → B
After applying all rotations, Top=4, Front=4, Right=2
rotation, sequence, orientation

Question 10

This net folds into a custom dice. Dice Net351624 If face 2 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 2 is opposite to face 5.
When the net is folded, the face opposite to 2 will be on the bottom.
net, folding, spatial

Question 11

Two views of a custom dice are shown: View 1: Top=5, Front=1 View 2: Top=6, Front=2 Which face is opposite to face 5?
In a custom dice, opposite pairs are: 1↔3, 2↔5, 4↔6.
Face 5 is opposite to face 2.
opposite, multiple-views, deduction

Question 12

This net folds into a custom dice. Dice Net624513 If face 1 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 1 is opposite to face 3.
When the net is folded, the face opposite to 1 will be on the bottom.
net, folding, spatial

Question 13

This net folds into a standard dice. Dice Net?21465 What number should replace the '?' mark?
In a standard dice, the opposite pairs are: 1↔6, 2↔5, 3↔4.
Using the adjacency relationships and the visible numbers, the missing face must be 3.
net, completion, missing-face

Question 14

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate right → rotate left → rotate counterclockwise Current Orientation1Top3Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: R → L → CC
After applying all rotations, Top=1, Front=3, Right=3
rotation, sequence, orientation

Question 15

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate left → rotate clockwise → rotate counterclockwise Current Orientation5Top6Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → L → C → CC
After applying all rotations, Top=5, Front=6, Right=3
rotation, sequence, orientation

Question 16

Which dice configuration matches this net? Dice Net314256
This net forms a alternate dice. When folded, opposite faces are: 1↔4, 2↔3, 5↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 17

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate forward → rotate clockwise → rotate right Current Orientation4Top3Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → F → C → R
After applying all rotations, Top=4, Front=3, Right=2
rotation, sequence, orientation

Question 18

This net folds into a standard dice. Dice Net123?46 What number should replace the '?' mark?
In a standard dice, the opposite pairs are: 1↔6, 2↔5, 3↔4.
Using the adjacency relationships and the visible numbers, the missing face must be 5.
net, completion, missing-face

Question 19

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate clockwise → rotate left → rotate right Current Orientation1Top2Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → C → L → R
After applying all rotations, Top=1, Front=2, Right=6
rotation, sequence, orientation

Question 20

In a custom dice, if face 3 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 3 is opposite to face 1.
Therefore, Face 1 cannot be adjacent to 3.
adjacent, faces, basic
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